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Proofgold Proof

pf
Claim L0: ...
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Claim L1: ...
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Claim L2: ...
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Claim L3: ...
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Claim L4: ...
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Let x0 of type ιο be given.
Let x1 of type ιο be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ιι be given.
Let x10 of type ιο be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ιο be given.
Let x14 of type ιο be given.
Let x15 of type ιο be given.
Let x16 of type ιο be given.
Let x17 of type ι be given.
Let x18 of type ιιο be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ιο be given.
Let x22 of type ιι be given.
Let x23 of type ιιο be given.
Let x24 of type ιιιι be given.
Let x25 of type ιο be given.
Let x26 of type ιο be given.
Assume H5: ∀ x27 x28 x29 x30 . (x26 x30False)x21 x30x25 x30x23 x27 (x22 x30)x23 x29 (x22 x30)x23 x28 (x22 x30)(x24 x30 x27 (x24 x30 x29 (x24 x30 x28 x28)) = x24 x30 x27 (x24 x30 x29 (x24 x30 x28 x27))False)False.
Assume H6: ∀ x27 x28 x29 . (x26 x29False)x21 x29x25 x29x23 x27 (x22 x29)x23 x28 (x22 x29)(x24 x29 (x24 x29 x27 x28) (x24 x29 x27 x27) = x27False)False.
Assume H7: (x18 x19 x20False)False.
Assume H8: (x25 x19False)False.
Assume H9: (x21 x17False)False.
Assume H10: (x0 x17False)False.
Assume H11: (x16 x17False)False.
Assume H12: (x1 x17False)False.
Assume H13: x26 x17False.
Assume H14: (x25 x17False)False.
Assume H15: ∀ x27 . (x15 x27False)x13 x27x14 (x22 x27)False.
Assume H16: ∀ x27 . x15 x27x13 x27(x14 (x22 x27)False)False.
Assume H17: ∀ x27 . x12 x27x13 x27(x11 (x22 x27)False)False.
Assume H18: ∀ x27 . (x12 x27False)x13 x27x11 (x22 x27)False.
Assume H19: ∀ x27 . (x26 x27False)x13 x27x10 (x22 x27)False.
Assume H20: ∀ x27 . x26 x27x13 x27(x10 (x22 x27)False)False.
Assume H21: ∀ x27 . (x23 (x9 x27) x27False)False.
Assume H22: (x13 x2False)False.
Assume H23: (x25 x8False)False.
Assume H24: ∀ x27 . x25 x27(x13 x27False)False.
Assume H25: ∀ x27 x28 x29 . (x26 x29False)x25 x29x23 x28 (x22 x29)x23 x27 (x22 x29)(x23 (x24 x29 x28 x27) (x22 x29)False)False.
Assume H26: ∀ x27 . x13 x27x18 x27 x3(x26 x27False)False.
Assume H27: ∀ x27 . ...x26 ...(x18 x27 x3False)False.
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